Energy adaptation of non-associated plasticity tangent matrices for symmetric solvers

Olubayo Olugbenga Olufemi

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    The behaviour of most civil engineering materials is considered by many to be best characterised by non-associated plasticity models which generate unsymmetric stiffness matrices. Various non-symmetric solution algorithms have been developed for solving such problems but these require large core storage, (approximately twice the size required for symmetric solution algorithms), and the computational process is consequently slowed down especially for very large problems. Two groups of eight symmetric solution techniques are proposed in this paper for non-associated plasticity problems using the total and plastic work done as scalar measures to adapt their tangent matrices for symmetric solvers. Five numerical examples are used to illustrate the performance and limitations of the techniques in terms of numerical stability, solution accuracy and computation times. (C) 2001 Elsevier Science Ltd. All rights reserved.

    Original languageEnglish
    Pages (from-to)1233-1250
    Number of pages17
    JournalComputers & Structures
    Volume79
    Issue number13
    DOIs
    Publication statusPublished - 2001

    Keywords

    • non-associated plasticity
    • symmetrization techniques
    • total and plastic work
    • symmetric and non-symmetric solvers
    • scalar mapping constraints
    • yield surface
    • plastic potential
    • NONASSOCIATED FLOW
    • FORMULATIONS
    • INSTABILITY
    • STABILITY
    • SOILS

    Cite this